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On Sommerfeld representation and uniqueness in scattering by wedges
Author(s) -
Komech A. I.,
Mauser N. J.,
Merzon A. E.
Publication year - 2004
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.553
Subject(s) - uniqueness , mathematics , wedge (geometry) , cauchy distribution , scattering , representation (politics) , mathematical analysis , plane (geometry) , complex plane , plane wave , pure mathematics , geometry , physics , quantum mechanics , politics , political science , law
We consider a non‐stationary scattering of plane waves by a wedge. We prove the Sommerfeld‐type representation and uniqueness of solution to the Cauchy problem in appropriate functional spaces developing the general method of complex characteristics ( Math. USSR Sb . 1973; 21 (1):91–135, Moscow Univ. Math. Bull. 1974; 29 (2):140–145, Oper. Theory Adv. Appl. 1992; 57 :171–183, Am. Math. Soc. Transl. (2) 2002; 206 :125–159). Copyright © 2004 John Wiley & Sons, Ltd.